The distance (in km) of 40 engineers from their residence to their place of work were found as follows :

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asked Nov 10, 2017 in Mathematics by jisu zahaan (28,760 points) 26 374 811

The distance (in km) of 40 engineers from their residence to their place of work were found as follows :

What is the empirical probability that an engineer lives : 

(i) less than 7 km from her place of work? 

(ii) more than or equal to 7 km from her place of work? 

(iii) within 1/2 km from her place of work?

1 Answer

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answered Nov 10, 2017 by sforrest072 (157,439 points) 61 410 939
selected Nov 10, 2017 by jisu zahaan
 
Best answer

Total no. of engineers = 40 

Let us arrange the data in ascending order as follows : 

2, 2, 3, 3, 3, 5, 5, 6, 6, 7, 7, 7, 7, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12, 13, 14, 15, 15, 15, 16, 17, 17, 18, 18, 19, 20, 25, 31, 32. 

(i) P (an engineer lives less than 7 km from her place of work)

= No. of engineers who live less than 7 km from their place of work / Total no. of engineers = 9/ 40

(ii) P (an engineer lives more than or equal to 7 km from her work place)

= No. of engineers who live more than or equal to 7 km from their work place / Total no. of engineers = 31/ 40

(iii) P (an engineer lives within 1/ 2 km from her place of work)

=  No. of engineers who live within km from their place of work 2 / 1Total no. of engineers 

= 0/ 40 = 0

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